Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct ascatterplot, find the value of the linear correlation coefficientr, and find theP-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of =0.05. If everyone were to tip with the samepercentage, what should be the value ofr?

Bill(dollars)

34.68

51.21

81.72

84.49

66.01

89.39

Tip(dollars)

5.20

9.32

11.67

9.83

6.29

9.73

The linear correlation coefficient is r=

Determine the null and alternative hypotheses.

H0:

greater than

>

not equals

equals

=

less than

<

nothing

H1:

greater than

>

less than

<

equals

=

not equals

nothing

(Type integers or decimals. Do notround.)

The test statistic is t=

(Round to two decimal places asneeded.)

TheP-value is (Round to three decimal places asneeded.)

Because theP-value of the linear correlation coefficient is

less than or equal to

greater than

the significancelevel, there

is

is not

sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts.

If everyone were to tip with the samepercentage, then r=